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Finding the Third Proportional to 435,406,443 and 940,077,606

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Solution

The third proportional to 435,406,443 and 940,077,606 is: 2,029,703,325.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,406,443 : 940,077,606 = 940,077,606 : x
  2. Step 2: Convert to fraction form
    435,406,443/940,077,606 = 940,077,606/x
  3. Step 3: Cross multiply
    435,406,443x = 940,077,606 × 940,077,606
  4. Step 4: Simplify right side
    435,406,443x = 883,745,905,302,691,200
  5. Step 5: Solve for x
    x = 883,745,905,302,691,200/435,406,443
  6. Step 6: Final answer
    x = 2,029,703,325.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.